College Algebra & Trigonometry, 2018a

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9.3. THE VERTICAL SHIFT OF A TRIGONOMETRIC FUNCTION 415 Exercises 9.3 Determine the Amplitude, Period and Vertical Shift for each function below and graph one period of the function. Identify the important points on the x and y axes. 1. y =sinx +1 2. y =cosx − 1 3. y =2cosx − 1 2 4. y =5sinx +4 5. y = − sin( 1 x)+1 6. y = − cos(2x)+7 4 7. y = 1 3 sin(πx) − 4 8. y = − 1 2 cos(2πx)+2 9. y = 5 cos( 1 2 x)+1 10. y = 4 sin( 1 3 x) − 1 11. y =3cosx +2 12. y =2sinx +3 13. y =2− 4cos(3x) 14. y =5− 3 sin(2x) Determine an equation that satifies the given graph. 4 2 6 4 2 15. −2 −4 0 π 5 2π 5 3π 5 4π 5 16. 0 π 4 −2 −4 −6 π 2 3π 4 π
416 CHAPTER 9. GRAPHING THE TRIGONOMETRIC FUNCTIONS 9 8 −1 7 6 5 3π 4 3π 2 9π 4 3π −2 −3 −4 π 2 π 3π 2 2π 17. 4 18. −5 12 1 11 0 10 9 π 2π 3π 4π −1 −2 2π 3 4π 3 2π 8π 3 19. 8 20. −3
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College Algebra & Trigonometry
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c○2018 Richard W. Beveridge This
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4 CONTENTS 2.4 Solution of Rational
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6 CONTENTS 8.2 The Trigonometric Ra
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8 CONTENTS
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10 CHAPTER 1. ALGEBRA REVIEW Exampl
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12 CHAPTER 1. ALGEBRA REVIEW 2(x +3
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16 CHAPTER 1. ALGEBRA REVIEW Trinom
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20 CHAPTER 1. ALGEBRA REVIEW (3x ?)
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24 CHAPTER 1. ALGEBRA REVIEW Differ
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30 CHAPTER 1. ALGEBRA REVIEW Then,
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32 CHAPTER 1. ALGEBRA REVIEW We can
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34 CHAPTER 1. ALGEBRA REVIEW PROGRA
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40 CHAPTER 1. ALGEBRA REVIEW devise
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80 CHAPTER 1. ALGEBRA REVIEW Addend
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84 CHAPTER 1. ALGEBRA REVIEW 26) On
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86 CHAPTER 1. ALGEBRA REVIEW 40) A
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88 CHAPTER 2. POLYNOMIAL AND RATION
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100 CHAPTER 2. POLYNOMIAL AND RATIO
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140 CHAPTER 3. EXPONENTS AND LOGARI
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190 CHAPTER 4. FUNCTIONS by substit
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192 CHAPTER 4. FUNCTIONS 4.2 Domain
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194 CHAPTER 4. FUNCTIONS Exercises
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196 CHAPTER 4. FUNCTIONS 8) 12 10 8
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198 CHAPTER 4. FUNCTIONS We can use
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200 CHAPTER 4. FUNCTIONS 3) 20 16 1
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202 CHAPTER 4. FUNCTIONS Vertical S
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204 CHAPTER 4. FUNCTIONS Now, if, i
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206 CHAPTER 4. FUNCTIONS So the gra
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208 CHAPTER 4. FUNCTIONS Stretching
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210 CHAPTER 4. FUNCTIONS Multiplyin
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214 CHAPTER 4. FUNCTIONS 3) Match e
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216 CHAPTER 4. FUNCTIONS 6) f(x) 7)
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218 CHAPTER 4. FUNCTIONS Being fami
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222 CHAPTER 4. FUNCTIONS 4.6 Piecew
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226 CHAPTER 4. FUNCTIONS 4.7 Compos
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230 CHAPTER 4. FUNCTIONS Original f
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232 CHAPTER 4. FUNCTIONS Then we sw
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234 CHAPTER 4. FUNCTIONS 19) f(x) =
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238 CHAPTER 4. FUNCTIONS 2) The gra
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242 CHAPTER 4. FUNCTIONS 8) A recta
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244 CHAPTER 4. FUNCTIONS So, our fi
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248 CHAPTER 4. FUNCTIONS Distance O
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250 CHAPTER 4. FUNCTIONS The graph
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252 CHAPTER 4. FUNCTIONS Distance/T
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254 CHAPTER 4. FUNCTIONS The graph
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256 CHAPTER 4. FUNCTIONS 3) A power
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258 CHAPTER 5. CONIC SECTIONS - CIR
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288 CHAPTER 6. SEQUENCES AND SERIES
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344 CHAPTER 8. RIGHT TRIANGLE TRIGO
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472 CHAPTER 11. THE LAW OF SINES TH
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College Algebra & Trigonometry, 2018a

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